Description
Book SynopsisIn this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.
Table of ContentsBasic Considerations and Concepts; Fundamentals of Classical Mechanics; One-Dimensional Motion of a Particle; Encountering Peculiar Motion in Two Dimensions; Motion in a Central Force; The Gravitational Interaction of Two Bodies; Collisions of Particles; Scattering; Changing the Frame of Reference; Lagrangian Mechanics; Conservation Laws and Symmetries in Many Particle Systems; The Rigid Body; Small Oscillations; Hamilton's Canonical Formulation of Mechanics; Hamilton-Jacobi Theory; Three-body Systems; Approximating Non-Integrable Systems;
